Questions: Which of the following statements is consistent with Boyle's Law concerning an ideal gas? At constant temperature and moles, a plot of volume versus pressure is linear. At constant pressure and volume, a plot of temperature versus moles is linear. At constant pressure and moles, a plot of temperature versus volume is linear. At constant temperature and moles, a plot of pressure versus the inverse of volume is linear. At constant temperature and pressure, a plot of moles versus volume is linear. - Your answer is incorrect.

Solution Steps

Boyle's Law states that for a given amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. Mathematically, this is expressed as:

\[ P \propto \frac{1}{V} \quad \text{or} \quad PV = \text{constant} \]

We need to determine which statement is consistent with Boyle's Law. Let's analyze each option:

1. At constant temperature and moles, a plot of volume versus pressure is linear.

   • According to Boyle's Law, \( PV = \text{constant} \), so \( V \) is inversely proportional to \( P \). This means a plot of \( V \) versus \( P \) would be a hyperbola, not a linear relationship.

2. At constant pressure and volume, a plot of temperature versus moles is linear.

   • This statement does not relate to Boyle's Law, which involves pressure and volume, not temperature and moles.

3. At constant pressure and moles, a plot of temperature versus volume is linear.

   • This statement is related to Charles's Law, not Boyle's Law.

4. At constant temperature and moles, a plot of pressure versus the inverse of volume is linear.

   • Since \( P \propto \frac{1}{V} \), a plot of \( P \) versus \( \frac{1}{V} \) would indeed be linear, consistent with Boyle's Law.

5. At constant temperature and pressure, a plot of moles versus volume is linear.

   • This statement is related to Avogadro's Law, not Boyle's Law.

Final Answer